A parallel well-balanced finite volume method for shallow water equations with topography on the cubed-sphere

DOI10.1016/j.cam.2011.01.016zbMath1222.76065OpenAlexW2008389906MaRDI QIDQ719422

Xiao-Chuan Cai, Chao Yang

Publication date: 10 October 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.01.016

zbMATH Keywords

shallow water equationstopographywell-balanced schemeparallel scalabilitycubed-sphereexact-C-property

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Hyperbolic conservation laws (35L65) Parallel numerical computation (65Y05) Meteorology and atmospheric physics (86A10)

Related Items (1)

Parallel multilevel methods for implicit solution of shallow water equations with nonsmooth topography on the cubed-sphere

Uses Software

• PETSc
• chammp

Cites Work

• Unnamed Item
• Shallow water model on cubed-sphere by multi-moment finite volume method
• Upwind schemes and boundary conditions with applications to Euler equations in general geometries
• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• Upwind methods for hyperbolic conservation laws with source terms
• Semi-implicit spectral element atmospheric model
• Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations
• Spectral transform solutions to the shallow water test set
• The ``cubed sphere: A new method for the solution of partial differential equations in spherical geometry
• Finite volume transport on various cubed-sphere grids
• On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas
• A wave propagation method for hyperbolic systems on the sphere
• Strong Stability-Preserving High-Order Time Discretization Methods
• A Fully Implicit Domain Decomposition Algorithm for Shallow Water Equations on the Cubed-Sphere
• Upwind Difference Schemes for Hyperbolic Systems of Conservation Laws
• A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations

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